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Fish swimming style and schooling behaviour are two important aspects of underwater locomotion. How swimming style affects fish schooling is investigated by a representative problem setup consisting of two tethered NACA0012 hydrofoils…

This study examines the impact of in-phase schooling on the hydrodynamic efficiency during linear acceleration in a simplified model using two undulating NACA0012 hydrofoils arranged in phalanx formation as a minimal representation of a…

Fluid Dynamics · Physics 2023-12-13 Zhonglu Lin , Dongfang Liang , Yu Zhang

There is increasing evidence that fish gain energetic benefits when they swim in a school. The most recent indications of such benefits are a lower tail (or fin) beat at the back of a school and reduced oxygen consumption in schooling fish…

Quantitative Methods · Quantitative Biology 2013-07-30 C. K. Hemelrijk , D. A. P. Reid , H. Hildenbrandt , J. T. Padding

We study experimentally a symmetrical rigid foil performing pitching oscillations around a mean incidence angle ($\alpha_{m}$) with respect to an incoming flow in a hydrodynamic channel at a constant velocity where the Reynolds number…

Metachronal swimming, the sequential beating of limbs with a small phase lag, is observed in many organisms at various scales, but has been studied mostly in the limits of high or low Reynolds numbers. Motivated by the swimming of brine…

Fluid Dynamics · Physics 2021-08-03 Hong Nguyen , Daphne Klotsa

To evaluate the swimming performances of aquatic animals, an important dimensionless quantity is the Strouhal number, St = fA/U, with f the tail-beat frequency, A the peak-to-peak tail amplitude, and U the swimming velocity. Experiments…

Fluid Dynamics · Physics 2015-03-18 Christophe Eloy

Natural swimmers usually perform undulations to propel themselves and perform a range of maneuvers. These include various biological species ranging from micro-sized organisms to large-sized fishes that undulate at typical kinematic…

Fluid Dynamics · Physics 2020-07-01 Muhammad Saif Ullah Khalid , Junshi Wang , Haibo Dong , Moubin Liu

Metachronal paddling is a swimming strategy in which an organism oscillates sets of adjacent limbs with a constant phase lag, propagating a metachronal wave through its limbs and propelling it forward. This limb coordination strategy is…

Fluid Dynamics · Physics 2025-07-28 Alana A. Bailey , Robert D. Guy

We computationally study the kinematics of a simple model reciprocal swimmer (asymmetric dumbbell) as a function of the Reynolds number (Re) and investigate how the onset and gradual increase of inertia impacts the swimming behavior: a…

Soft Condensed Matter · Physics 2020-07-01 Thomas Dombrowski , Daphne Klotsa

We establish through numerical simulation conditions for optimal undulatory propulsion for a single fish, and for a pair of hydrodynamically interacting fish, accounting for linear and angular recoil. We first employ systematic 2D…

Fluid Dynamics · Physics 2017-04-05 Audrey P. Maertens , Amy Gao , Michael S. Triantafyllou

The swimming of an assembly of rigid spheres immersed in a viscous fluid of infinite extent is studied in low Reynolds number hydrodynamics. The instantaneous swimming velocity and rate of dissipation are expressed in terms of the…

Fluid Dynamics · Physics 2015-05-25 B. U. Felderhof

Biological locomotion, observed in the flexible wings of birds and insects, bodies and fins of aquatic mammals and fishes, consists of their ability to morph the wings/fins. The morphing capability holds significance in the abilities of…

Fluid Dynamics · Physics 2022-10-19 Pragalbh Dev Singh , Ishan Neogi , Vardhan Niral Shah , Vaibhav Joshi

We study experimentally a a three-dimensional reduced model of a sail shape performing pitching oscillations around a mean incidence angle ($\alpha_{m}$) with respect to an incoming flow in a hydrodynamic channel at a constant velocity…

Fluid Dynamics · Physics 2026-03-24 Gauthier Bertrand , Ramiro Godoy-Diana , Benjamin Thiria , Marc Fermigier

We present new unconstrained simulations and constrained experiments of a pair of pitching hydrofoils in a leader-follower in-line arrangement. Free-swimming simulations of foils with $matched$ pitching amplitudes show self-organization…

Fluid Dynamics · Physics 2024-10-04 Tianjun Han , Amin Mivehchi , Seyedali Seyedmirzaei Sarraf , Keith W. Moored

Researchers have long debated which spatial arrangements and swimming synchronizations are beneficial for the hydrodynamic performance of fish in schools. In our previous work (Seo and Mittal, Bioinsp. Biomim., Vol. 17, 066020, 2022), we…

Fluid Dynamics · Physics 2025-07-11 Ji Zhou , Jung-Hee Seo , Rajat Mittal

We study a linear inviscid model of a passively flexible swimmer, calculating its propulsive performance, eigenvalues, and eigenfunctions with an eye towards clarifying the relationship between efficiency and resonance. The frequencies of…

Fluid Dynamics · Physics 2018-08-29 Daniel Floryan , Clarence W. Rowley

The swimming of a spheroid immersed in a viscous fluid and performing surface deformations periodically in time is studied on the basis of Stokes equations of low Reynolds number hydrodynamics. The average over a period of time of the…

Fluid Dynamics · Physics 2016-11-23 B. U. Felderhof

We study a linear inviscid model of a passively flexible swimmer with distributed flexibility, calculating its propulsive performance and optimal distributions of flexibility. The frequencies of actuation and mean stiffness ratios we…

Fluid Dynamics · Physics 2020-02-26 Daniel Floryan , Clarence W. Rowley

Swimming velocity and rate of dissipation of a sphere with surface distortions are discussed on the basis of the Stokes equations of low Reynolds number hydrodynamics. At first the surface distortions are assumed to cause an irrotational…

Fluid Dynamics · Physics 2015-06-19 B. U. Felderhof , R. B. Jones

Many swimming and flying animals are observed to cruise in a narrow range of Strouhal numbers, where the Strouhal number ${St = 2fA/U}$ is a dimensionless parameter that relates stroke frequency $f$, amplitude $A$, and forward speed $U$.…

Fluid Dynamics · Physics 2019-04-11 Daniel Floryan , Tyler Van Buren , Alexander J. Smits
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